LEADER 03354nam 22006133u 450 001 9910564680703321 005 20230718112832.0 010 $a3-030-93015-7 035 $a(CKB)5700000000081229 035 $aEBL6961667 035 $a(AU-PeEL)EBL6961667 035 $a(MiAaPQ)EBC6961667 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/81671 035 $a(PPN)262167697 035 $a(EXLCZ)995700000000081229 100 $a20220617d2022|||| uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aControl problems for conservation laws with traffic applications $emodeling, analysis, and numerical methods /$fAlexandre Bayen [et al.] 210 $aCham $cSpringer International Publishing AG$d2022 215 $a1 online resource (xvii, 227 pages) $cillustrations (some colour) 225 1 $aProgress in nonlinear differential equations and their applications$vv.99 300 $aDescription based upon print version of record. 311 $a3-030-93014-9 327 $aIntroduction Boundary Control Decentralized Control Distributed Control Lagrangian Control Hamilton-Jacobi Equations Appendix A: Balance Laws with Boundary Conservation Laws on Networks 330 $aConservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow. This open access monograph is the first to investigate different types of control problems for conservation laws that arise in the modeling of vehicular traffic. Four types of control problems are discussed - boundary, decentralized, distributed, and Lagrangian control - corresponding to, respectively, entrance points and tolls, traffic signals at junctions, variable speed limits, and the use of autonomy and communication. Because conservation laws are strictly connected to Hamilton-Jacobi equations, control of the latter is also considered. An appendix reviewing the general theory of initial-boundary value problems for balance laws is included, as well as an appendix illustrating the main concepts in the theory of conservation laws on networks. 410 0$aProgress in nonlinear differential equations and their applications$v99 606 $aConservation laws (Mathematics) 606 $aLleis de conservaciķ (Matemātica)$2thub 608 $aLlibres electrōnics$2thub 610 $aHyperbolic Conservation Laws 610 $aVehicular Traffic Modeling 610 $aControl Problems Conservation Laws 610 $aHamilton-Jacobi Equations 610 $aConservation Laws on Networks 610 $aLighthill-Whitham-Richard Model 610 $aTopological Graphs 615 0$aConservation laws (Mathematics). 615 7$aLleis de conservaciķ (Matemātica) 700 $aBayen$b Alexandre M$01257777 701 $aDelle Monache$b Maria Laura$01235574 701 $aGaravello$b Mauro$0520337 701 $aGoatin$b Paola$01235575 701 $aPiccoli$b Benedetto$f1968-$0760536 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910564680703321 996 $aControl problems for conservation laws with traffic applications$92914668 997 $aUNINA